9005768 has 12 divisors (see below), whose sum is σ = 16901745. Its totient is φ = 4498640.

The previous prime is 9005743. The next prime is 9005783. The reversal of 9005768 is 8675009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8773444 + 232324 = 2962^2 + 482^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2122.

It is a super-2 number, since 2×9005768² = 162207714539648, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7958 + ... + 9018.

Almost surely, 2^9005768 is an apocalyptic number.

It is an amenable number.

9005768 is a deficient number, since it is larger than the sum of its proper divisors (7895977).

9005768 is an equidigital number, since it uses as much as digits as its factorization.

9005768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 9005768 is about 3000.9611793557. The cubic root of 9005768 is about 208.0528095692.

The spelling of 9005768 in words is "nine million, five thousand, seven hundred sixty-eight".